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Finding the Fourth Proportional to 1,924.29, 2,653.07 and 1,293.82

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Solution

The fourth proportional to 1,924.29, 2,653.07 and 1,293.82 is: 1,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.29 : 2,653.07 = 1,293.82 : x
  2. Step 2: Convert to fraction form
    1,924.29/2,653.07 = 1,293.82/x
  3. Step 3: Cross multiply
    1,924.29x = 2,653.07 × 1,293.82
  4. Step 4: Simplify right side
    1,924.29x = 3,432,581.93
  5. Step 5: Solve for x
    x = 3,432,581.93/1,924.29
  6. Step 6: Final answer
    x = 1,783.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.